Representations of U₃(4)

Permutation Representations

Points	ID	Prim	Trans	Rank	Suborbits	Char	Stab	Files
65		Primitive	2	2	1, 64			m b g M	view
208		Primitive	1	5	1, 12, 602, 75			m b g M	view
416		Primitive	1	9	1, 15, 254, 752, 150			m b g M	view
1600		Primitive	1	48	1, 139, 3938			m b g M	view

Matrix Representations

Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
0	C	12		−	χ2					?	m b g M	view
0	C	13	a	o	χ3					?	m b g M	view
0	C	13	b	o	χ4					?	m b g M	view
0	C	13	c	o	χ5					?	m b g M	view
0	C	13	d	o	χ6					?	m b g M	view
0	C	39	a	+	χ7					?	m b g M	view
0	C	39	b	+	χ8					?	m b g M	view
0	C	52	a	o	χ9					?	m b g M	view
0	C	52	b	o	χ10					?	m b g M	view
0	C	52	c	o	χ11					?	m b g M	view
0	C	52	d	o	χ12					?	m b g M	view
0	Z	64		+	χ13					?	m b g M	view
0	Z	65	a	+	χ14					?	m b g M	view
0	Z	260		o	X15+X16+X17+X18					?	m b g M	view
0	Z	300		o	X19+X20+X21+X22					?	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
2	GF(16)	3	a							Abs irr	m b g M	view
2	GF(16)	3	b							Abs irr	m b g M	view
2	GF(16)	3	c							Abs irr	m b g M	view
2	GF(16)	3	d							Abs irr	m b g M	view
2	GF(4)	6	a							Irr not abs irr	m b g M	view
2	GF(4)	6	b							Irr not abs irr	m b g M	view
2	GF(4)	8	a							Abs irr	m b g M	view
2	GF(4)	8	b							Abs irr	m b g M	view
2	GF(16)	9	a							Abs irr	m b g M	view
2	GF(16)	9	b							Abs irr	m b g M	view
2	GF(16)	9	c							Abs irr	m b g M	view
2	GF(16)	9	d							Abs irr	m b g M	view
2	GF(2)	12								Irr not abs irr	m b g M	view
2	GF(2)	16								Irr not abs irr	m b g M	view
2	GF(4)	18	a							Irr not abs irr	m b g M	view
2	GF(4)	18	b							Irr not abs irr	m b g M	view
2	GF(16)	24	a							Abs irr	m b g M	view
2	GF(16)	24	b							Abs irr	m b g M	view
2	GF(16)	24	c							Abs irr	m b g M	view
2	GF(16)	24	d							Abs irr	m b g M	view
2	GF(2)	36								Irr not abs irr	m b g M	view
2	GF(4)	48	a							Irr not abs irr	m b g M	view
2	GF(4)	48	b							Irr not abs irr	m b g M	view
2	GF(2)	64								Abs irr	m b g M	view
2	GF(2)	96								Irr not abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
3	GF(3)	12								Abs irr	m b g M	view
3	GF(3)	52	e							Irr not abs irr	m b g M	view
3	GF(3)	64								Abs irr	m b g M	view
3	GF(3)	75	a							Abs irr	m b g M	view
3	GF(3)	75	b							Abs irr	m b g M	view
3	GF(3)	75	c							Abs irr	m b g M	view
3	GF(3)	75	d							Abs irr	m b g M	view
3	GF(3)	78								Irr not abs irr	m b g M	view
3	GF(3)	208								Irr not abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
5	GF(5)	12								Abs irr	m b g M	view
5	GF(5)	39								Abs irr	m b g M	view
5	GF(5)	65								Abs irr	m b g M	view
5	GF(25)	150	a							Irr not abs irr	m b g M	view
5	GF(25)	150	b							Irr not abs irr	m b g M	view
5	GF(5)	300								Irr not abs irr	m b g M	view
Char	Ring	Dim	ID	Ind	Character	Char Rng	H1	H2	Schur	Irr	Files
13	GF(13)	12								Abs irr	m b g M	view
13	GF(13)	52	e							Irr not abs irr	m b g M	view
13	GF(13)	63								Abs irr	m b g M	view
13	GF(13)	65	a							Abs irr	m b g M	view
13	GF(13)	78								Irr not abs irr	m b g M	view
13	GF(13)	208								Irr not abs irr	m b g M	view
13	GF(13)	260								Irr not abs irr	m b g M	view

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U₃(4)
Representations of U3(4)

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